Question

if x+y=7/2 and xy=5/2:find: (x-y) ​

Answer 1

Step-by-step explanation:$\huge\boxed{\fcolorbox{red}{yellow}{HELLO\:MATE}}$

Given :

x+y = 7/2

and x/y = 5/2

TO FIND :

x-y.

Solution:

x+y =7/2

or (x+y) ^2 = (7/2)^2

x^2+y^2 +2xy =49/4.

or x^2+y^2 +2×5/2=49/4

or x^2+y^2-2xy=49/4-5-2xy.

or (x-y) ^2 =49/4-5-5

or(x-y) ^2 =49/4-10=49-40/10.

or(x-y) ^2=9/10

Therefore x-y=3/√10